A Treatise on Higher TrigonometryMacmillan, 1884 - 208 sider |
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Resultat 1-5 av 11
Side 113
... escribed circles of the triangle ABC ; r , r1 , r2 , r , are their radii . 3 [ E. 276 , 278. ] O is the centre of the circumscribing circle and R its radius . The circumscribing circle of the triangle DEF passes through A'B'C ' and ...
... escribed circles of the triangle ABC ; r , r1 , r2 , r , are their radii . 3 [ E. 276 , 278. ] O is the centre of the circumscribing circle and R its radius . The circumscribing circle of the triangle DEF passes through A'B'C ' and ...
Side 115
... escribed circles from that of the inscribed circles are 4R sin 4 , 4R sin B , 4R sin C. ( 16 ) AE ' = R ( sin B + sin C − sin A ) , where E ' is the point in which the inscribed circle touches AC . EXAMPLE . To prove that the nine ...
... escribed circles from that of the inscribed circles are 4R sin 4 , 4R sin B , 4R sin C. ( 16 ) AE ' = R ( sin B + sin C − sin A ) , where E ' is the point in which the inscribed circle touches AC . EXAMPLE . To prove that the nine ...
Side 120
... escribed circle of a triangle ABC with the produced sides and these lines form a new triangle , then the lines ... escribed circles . ( 11 ) Given the circumscribed and inscribed circles of a tri- angle , prove that the centres of the ...
... escribed circle of a triangle ABC with the produced sides and these lines form a new triangle , then the lines ... escribed circles . ( 11 ) Given the circumscribed and inscribed circles of a tri- angle , prove that the centres of the ...
Side 138
... escribed circles of a triangle are the roots of the equation Sx3 + 8 ( -82 ) x2 + 82Sx = 28 , where 22 is the sum of the squares of the sides . ( 44 ) 12RS = a3 cos ( B − C ) + b3 cos ( C − A ) + c3 cos ( A – B ) . ( 45 ) If O be a ...
... escribed circles of a triangle are the roots of the equation Sx3 + 8 ( -82 ) x2 + 82Sx = 28 , where 22 is the sum of the squares of the sides . ( 44 ) 12RS = a3 cos ( B − C ) + b3 cos ( C − A ) + c3 cos ( A – B ) . ( 45 ) If O be a ...
Side 139
... escribed to that triangle form a triangle A'B'C ' ; prove that the perimeter of the triangle A'B'C ' is 4R cot A cot B cot C. ( 55 ) If BE , CF be the perpendiculars from B and C on to the opposite sides , and if FE and BC produced meet ...
... escribed to that triangle form a triangle A'B'C ' ; prove that the perimeter of the triangle A'B'C ' is 4R cot A cot B cot C. ( 55 ) If BE , CF be the perpendiculars from B and C on to the opposite sides , and if FE and BC produced meet ...
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TREATISE ON HIGHER TRIGONOMETR J. B. (John Bascombe) 1849-1921 Lock Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
a+ẞ Algebra angular points arithmetical ascending powers calculated Cambridge centre circular measure circumscribing circle Classical Series coefficients cos² cos³ cosec cosh nx cosine Crown 8vo deduce different values distance Edited by Rev equal escribed circles Eton College EXAMPLES Expand expression Extra fcap fcap Fellow of St Find form A+iB formula GRAMMAR greater Hence inscribed inscribed circle integer Introductions and Notes J. P. MAHAFFY John's College King's College late Fellow less limit LIVY logarithms MACMILLAN'S CLASSICAL CATALOGUE Moivre's Theorem nine-points circle nth roots obtain Oxford P₁ perpendiculars positive integer Prove the following quadratic factors radii radius right angle roots School sec² Shew sides sin n sin² sin³ sine sinh Sum the series Tables tan-¹ tan² tangent triangle ABC Trigonometry Trinity College Vocabulary whole number
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